 | Dugald Stewart - Logic - 1802 - 632 pages
...different quantities, and the connexions which exifl between different relations. When we demonftrate, that the angle at the centre of a circle is double of the angle at the circumference on the fame bafe, we afcertain a relation between two quantities. When... | |
 | Dugald Stewart - 1829 - 482 pages
...different quantities, and the connexions which exist between different relations. When we demonstrate, that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...in the Proposition called by Simson the Twentieth of the Third Book, the object of -vhich is to show that the angle at the centre of a circle is double of the angle at the circumference. COR. 16. If evidence is demanded of the existence of magnitudes which,... | |
 | Education - 1836 - 502 pages
...difference of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose... | |
 | Schoolmaster - 1836 - 926 pages
...difference of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...of a circle to the middle point of any chord in the circle, is perpendicular to that chord. 2. Show that the angle at the centre of a circle is double of the angle at the circumference upon the same base. 3. If two straight lines cut one another within... | |
 | 1851 - 382 pages
...centre of a given circle, 3. Prove that the diameter of a circle is the greatest chord, .... 4. Prove that the angle at the centre of a circle is double of the angle at the circumference, upon the same base, .... 5. Explain how the height of an inaceessibl... | |
 | Dugald Stewart - 1854 - 538 pages
...different quantities, and the connexions which exist between different relations. When we demonstrate that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When... | |
 | Dugald Stewart - 1854 - 536 pages
...different quantities, and the connexions which exist between different relations. When we demonstrate that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When... | |
 | 1872 - 398 pages
...proposition as Prop. C, where it is proved for the case of an angle not less than two right angles, that " the angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc." Lastly, a proposition not given by Euclid,... | |
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When we demonstrate that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. 
